My research interests are in the field of operator theory, spaces of analytic functions, and complex analysis in one and several variables.

Papers:

• Reducing Subspaces of de Branges-Rovnyak Spaces, submitted. https://arxiv.org/abs/1810.01058
• Hilbert Spaces Contractively Contained in Weighted Bergman Spaces, to appear in Journal of Mathematical Analysis and Applications. https://arxiv.org/abs/1807.08366
• Density of Polynomials in Sub-Bergman Hilbert Spaces, Journal of Mathematical Analysis and Applications, Vol. 467, No. 1 [2018] 699-703. https://arxiv.org/abs/1806.11383
• Bounded Composition Operators and Multipliers of Some Reproducing
  Kernel Hilbert Spaces on the Bidisk, to appear in Complex Analysis and
  Operator Theory. https://arxiv.org/abs/1709.04010

• Normal Truncated Toeplitz Operators, Complex Analysis and Operator
  Theory, Vol. 12, No. 4 [2018] 849-857. https://arxiv.org/abs/1709.04008

• A Note on the Spectral Area of Toeplitz Operators (with Dmitry Khavinson), Proceedings of the American Mathematical Society, Vol. 144, No. 6 [2016] 2533-2537. https://arxiv.org/abs/1503.06731
• Asymptotic Bohr Radius for the Polynomials in One Complex Variable, Contemporary Mathematics, Vol. 638 [2015] 39-43. https://arxiv.org/abs/1403.6513
• Compact Product of Hankel and Toeplitz Operators, Indiana University Mathematics Journal, Vol. 64, No. 4 [2015] 973-982. https://arxiv.org/abs/1403.2338
• A Characterization of M_(A_1)(R^n), preprint. http://arxiv.org/abs/1310.2136

Invited Talks:

• AMS Sectional Meeting in Fayetteville, Special Session on Operator The-
  ory and Function Spaces of Analytic Functions, University of Arkansas,
  November 2018.
• Chongqing Mathematics Meeting and Summer Workshop, Invited lecture series, Chongqing University, China, May 2018.
• Analysis Day at University of Michigan-Dearborn, Detroit, April 2018.
• AMS Sectional Meeting in Nashville, Special Session on Function Spaces and Operator Theory, Vanderbilt University, April 2018.
• Analysis Seminar, University of South Florida, Tampa, February 2015.

Conference Talks:

• Sub-Bergman Hilbert Spaces, 34th Southeastern Analysis Meeting, Georgia Institute of Technology, Atlanta, March 2018. Slides
• Bounded Composition Operators on the Bidisk, 33rd Southeastern Analysis Meeting, University of Tennessee, Knoxville,  March 2017. Slides
• A Spectral Area Estimate of Some Toeplitz Operators, AMS/MAA Joint Mathematical Meetings, Special Session on Operators, Function Spaces, and Models, Seattle, January 2016. Slides
• A Spectral Area Estimate of Some Toeplitz Operators, Wabash Modern Analysis Seminar, IUPUI, Indianapolis, September 2015.
• Asymptotic Bohr Radius for Polynomials, 31th Southeastern Analysis Meeting, University of Georgia, March 2015. Slides
• Asymptotic Bohr Radius for Polynomials in One Complex Variable, Wabash Modern Analysis Seminar, IUPUI, Indianapolis, September 2014.
• Compact Product of Hankel and Toeplitz Operators on the Hardy space, 30th Southeastern Analysis Meeting, Clemson University, March 2014. Slides